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solve the polynomial ineqaality. express the solution set in interval notation.

x^3+x^2+64x+64>0

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    ss33

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    x^3+x^2+64x+64>0
    x^2(x+1) + 64(x+1) > 0
    (x+1)(x^2 + 64) > 0

    since x^2 + 64 is always positive
    we just have to look at
    x+1 > 0
    x > -1

    see
    http://www.wolframalpha.com/input/?i=x%5E3%2Bx%5E2%2B64x%2B64

    notice the graph is > 0 (above the x-axis) for all values of x , x >-1
    The first graph looks like a straight line, but it isn't.
    the scaling distorts the graph.

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